具有粘弹性边界条件的多维Bresse系统的新的一般衰减结果

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2022-01-01 DOI:10.3934/mcrf.2022050

B. Feng, A. Soufyane, M. Afilal

引用次数: 0

摘要

本文考虑了一个具有存储型边界条件的多维布莱斯方程。通过假设解核上的最小条件，我们建立了一个最优的显式和一般的能量衰减结果。这个结果是新的，并且大大改进了文献中早期的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions

In this paper we consider a multi-dimensional Bresse with memory-type boundary conditions. By assuming minimal conditions on the resolvent kernel, we establish an optimal explicit and general energy decay result. This result is new and substantially improves earlier results in the literature.

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来源期刊

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.